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Finding the Fourth Proportional to 98,640, 147,979.44 and 32,075.84

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Solution

The fourth proportional to 98,640, 147,979.44 and 32,075.84 is: 48,120.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,640 : 147,979.44 = 32,075.84 : x
  2. Step 2: Convert to fraction form
    98,640/147,979.44 = 32,075.84/x
  3. Step 3: Cross multiply
    98,640x = 147,979.44 × 32,075.84
  4. Step 4: Simplify right side
    98,640x = 4,746,564,840.73
  5. Step 5: Solve for x
    x = 4,746,564,840.73/98,640
  6. Step 6: Final answer
    x = 48,120.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.